6x^6-4x^3-2=0

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Solution for 6x^6-4x^3-2=0 equation:


Simplifying
6x6 + -4x3 + -2 = 0

Reorder the terms:
-2 + -4x3 + 6x6 = 0

Solving
-2 + -4x3 + 6x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -2x3 + 3x6) = 0

Factor a trinomial.
2((-1 + -3x3)(1 + -1x3)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-1 + -3x3)' equal to zero and attempt to solve: Simplifying -1 + -3x3 = 0 Solving -1 + -3x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -3x3 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3x3 = 0 + 1 -3x3 = 0 + 1 Combine like terms: 0 + 1 = 1 -3x3 = 1 Divide each side by '-3'. x3 = -0.3333333333 Simplifying x3 = -0.3333333333 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(1 + -1x3)' equal to zero and attempt to solve: Simplifying 1 + -1x3 = 0 Solving 1 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x3 = 0 + -1 -1x3 = 0 + -1 Combine like terms: 0 + -1 = -1 -1x3 = -1 Divide each side by '-1'. x3 = 1 Simplifying x3 = 1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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